| Label |
Name |
Order |
Parity |
Solvable |
Nil. class |
Conj. classes |
Subfields |
Low Degree Siblings |
| 32T37217 |
$C_4^2:D_4^2$ |
$1024$ |
$1$ |
✓ |
$4$ |
$100$ |
$C_2$ x 3, $C_2^2$, $D_{4}$ x 4, $D_4\times C_2$ x 2, $Q_8:C_2^2$, $C_2 \wr C_2\wr C_2$ x 2, $D_4^2$, $D_4^2:C_2^2$, $D_4^2:C_2^3$ |
32T37214 x 128, 32T37217 x 127 |
| 32T96908 |
$C_2^6:S_4$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$80$ |
$C_2$ x 3, $C_2^2$, $S_4$, $S_4\times C_2$ x 3, $C_2 \wr S_4$ x 4, $C_2^2\times S_4$, $C_2^5:S_4$ x 6 |
32T96908 x 63 |
| 32T96911 |
$(D_4\times C_2^3):S_4$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$53$ |
$C_2$, $D_{4}$, $S_4$, $S_4\times C_2$, $C_2 \wr S_4$ x 2, $D_4\times S_4$, $C_2^5:S_4$, $(C_2^2\times D_4):S_4$ |
32T96911 x 15 |
| 32T96912 |
$C_2^5:(C_2\times S_4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$53$ |
$C_2$, $D_{4}$, $S_4$, $S_4\times C_2$, $C_2 \wr S_4$ x 2, $D_4\times S_4$, $C_2^5:S_4$, $C_2^4:(C_2\times S_4)$ |
32T96912 x 7, 32T96959 x 8, 32T97020 x 16 |
| 32T96916 |
$(D_4\times C_2^3):S_4$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$53$ |
$C_2$, $D_{4}$, $S_4$, $S_4\times C_2$, $C_2 \wr S_4$ x 2, $D_4\times S_4$, $C_2^5:S_4$, $(C_2^2\times D_4):S_4$ |
32T96916 x 7, 32T97030 x 8 |
| 32T96959 |
$C_2^5:(C_2\times S_4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$53$ |
$C_2$, $D_{4}$, $S_4$, $S_4\times C_2$, $C_2 \wr S_4$ x 2, $D_4\times S_4$, $C_2\wr S_4$, $C_2^4:(C_2\times S_4)$ |
32T96912 x 8, 32T96959 x 7, 32T97020 x 16 |
| 32T97020 |
$C_2^5:(C_2\times S_4)$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$53$ |
$C_2$, $D_{4}$, $V_4^2:(S_3\times C_2)$, $C_2\wr S_4$, $C_2\wr D_6$, $C_2^4:(C_2\times S_4)$ |
32T96912 x 8, 32T96959 x 8, 32T97020 x 15 |
| 32T97037 |
$D_4\times C_2^3:S_4$ |
$1536$ |
$1$ |
✓ |
$-1$ |
$65$ |
$C_2$, $D_{4}$, $S_4$, $S_4\times C_2$, $C_2^3:S_4$ x 2, $D_4\times S_4$, $C_2^4:S_4$, $C_2^4:(C_2\times S_4)$ |
32T97037 x 47 |
Results are complete for degrees $\leq 23$.
